363705040 has 40 divisors (see below), whose sum is σ = 854005608. Its totient is φ = 144038400.

The previous prime is 363705029. The next prime is 363705059. The reversal of 363705040 is 40507363.

It can be written as a sum of positive squares in 4 ways, for example, as 32901696 + 330803344 = 5736^2 + 18188^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×363705040² = 264562712242803200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14427 + ... + 30586.

Almost surely, 2^363705040 is an apocalyptic number.

It is an amenable number.

363705040 is an abundant number, since it is smaller than the sum of its proper divisors (490300568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

363705040 is a wasteful number, since it uses less digits than its factorization.

363705040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45127 (or 45121 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 363705040 is about 19071.0524093454. The cubic root of 363705040 is about 713.8107866150.

The spelling of 363705040 in words is "three hundred sixty-three million, seven hundred five thousand, forty".